Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups
Abstract
Let B be a p-block of a finite group G with abelian defect group D such that S\unlhd G, S'=S, G/Z(S)\le\Aut(S) and S/Z(S) is a sporadic simple group. We show that B is isotypic to its Brauer correspondent in N_G(D) in the sense of Broué. This has been done by [Rouquier, 1994] for principal blocks and it remains to deal with the non-principal blocks.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2015
- DOI:
- 10.48550/arXiv.1504.01856
- arXiv:
- arXiv:1504.01856
- Bibcode:
- 2015arXiv150401856S
- Keywords:
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- Mathematics - Representation Theory
- E-Print:
- 20 pages, the statement of the main theorem was misleading and has been changed